The estate of Bodrhyddan had been in the hands of the Conways since the 13th century, but their only previous parliamentary experience had been for the county in 1558 and the boroughs in 1563. Conway’s father, reputed to be a Roman Catholic, was added to the commission of array in 1643, and fortified Rhuddlan Castle for the King. After the war, he took the Covenant and the negative oath, and petitioned to compound, although too weak and old to travel to London. No further proceedings are recorded.2J. E. Griffith, Peds. of Anglesey and Caern. Fams. 260-1; Jnl. Flints. Hist. Soc. xviii. 54; Cal. Comm. Comp. 1632; Wood’s Life and Times (Oxf. Hist. Soc. xxvi), 46.
Conway himself, probably an Anglican, was created a baronet at the Restoration and returned for the county in 1661. So far as can be ascertained, he was a totally inactive Member of the Cavalier Parliament. He was given leave to go into the country on 16 Nov. 1666, and died on 4 June 1669.3Jnl. Flints. Hist. Soc. xx. 1.